Local transformations of superpositions of entangled states

Abstract

Suppose that we have two entangled states $|{\varphi }_1⟩$, $|{\psi }_1⟩$ that cannot be converted to any of other two states $|{\varphi }_2⟩$, $|{\psi }_2⟩$ by local operations and classical communication. We analyze the possibility of locally transforming a superposition of $|{\varphi }_1⟩$ and $|{\psi }_1⟩$ into a superposition of $|{\varphi }_2⟩$ and $|{\psi }_2⟩$. By using the Nielsen's theorem we find the necessary and sufficient conditions for this conversion to be performed.

References in corpus (15)

• Conditions for a class of entanglement transformations
• Entanglement-assisted local manipulation of pure quantum states
• Local indistinguishability and LOCC monotones
• Local indistinguishability: more nonlocality with less entanglement
• The Entanglement of Superpositions
• Bounds on Negativity of Superpositions
• Reexamination of entanglement of superpositions
• Bounds on the multipartite entanglement of superpositions
• Tight bounds on the concurrence of quantum superpositions
• Multipartite entanglement of superpositions
• Entanglement-assisted local transformations between inequivalent classes of three-particle entangled states
• Character of Locally Inequivalent Classes of States and Entropy of Entanglement
• Bounds on Bipartitiely Shared Entanglement Reduced from Superposed Tripartite Quantum States
• The Bound of Entanglement of Superpositions with More Than Two Components
• General entanglement-assisted transformation for bipartite pure quantum states

Cited by in corpus (1)

• Unconditionally superposition-robust entangled state in all multiparty quantum systems